“1k F ” singularities and finite density ABJM theory at strong coupling

Henriksson, Oscar; Rosen, C. A.

doi:10.1007/jhep07(2017)009

Cited by 4 publications

(8 citation statements)

References 44 publications

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“…The damping rates of the holographic models are of the order of the Fermi momentum, l −1 d = Im(k * ) ∼ k F , whereas in our model we have l −1 d ∼ λ 2 . We consider a dimensionful coupling λ 2 k F whereas the coupling in [33,34] is dimensionless and is taken to infinity, likely more similar to the k F λ 2 case. If we are indeed seeing the same phenomenon then we would expect the damping rate of our model, l −1 d (λ 2 ), to go as λ 2 for λ 2 k F but then saturate to ∼ k F once λ 2 ∼ k F where our theory breaks down.…”

Section: Resultsmentioning

confidence: 99%

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

Säterskog

2018

SciPost Phys.

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We study a model in 1+2 dimensions composed of a spherical Fermi surface of N f flavors of fermions coupled to a massless scalar. We present a framework to non-perturbatively calculate general fermion n-point functions of this theory in the limit N f → 0 followed by k F → ∞ where k F sets both the size and curvature of the Fermi surface. Using this framework we calculate the zero-temperature fermion density-density correlation function in real space and find an exponential decay of Friedel oscillations.

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Section: Resultsmentioning

confidence: 99%

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

Säterskog

2018

SciPost Phys.

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“…In the former case, exponentially damped Friedel oscillations were uncovered at long distances, apparently at the wavevector where Re[ν − (k)] = 0 (with the expressions appropriate for an AdS×R 2 IR geometry). [45] found that, on the contrary, these oscillations do not survive at long distances in the U (1) 4 black hole, which happens to have an η = 1 IR. This is consistent with the results in [8] that there is no low energy longitudinal spectral weight.…”

Section: Discussionmentioning

confidence: 98%

“…We would like to thank Chris Rosen for very interesting discussions and for sharing with us the results of [45] prior to their publication. We are also grateful to Sean Hartnoll for discussions and comments on a draft.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Spectral weight and spatially modulated instabilities in holographic superfluids

Goutéraux

Martin

2017

J. High Energ. Phys.

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Free fermions form a Fermi surface, which results in non-zero spectral weight at low energy and finite wavevector k F . In this work, we find similar features in holographic phases dual to strongly coupled quantum superfluid matter. At zero temperature, the phases we consider exhibit semi-local criticality in the IR and all the charge is carried by the scalar condensate outside the black hole horizon. Depending on the value taken by the IR critical exponents, we find Fermi surfaces in the transverse sector, Fermi shells in the longitudinal sector or no spectral weight at all. When there is non-zero transverse spectral weight, the IR can be subject to an instability at finite wavevector, the endpoint of which is likely a spatially modulated phase.

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“…1(b) and φ is a phase constant. The details behind (84) and (86) can be found in Appendix D. The exponential factor on the right hand side of (86) is explicitly in contrast to the case in a weakly-coupled field theory, such type of Friedel-like oscillation with faster than power-law decay behavior is observed in the densitydensity correlation in other holographic strongly-coupled systems [27,33,34] and in the zero fermionic flavor limit: N f → 0 [35].…”

Section: Discussionmentioning

confidence: 99%

Holographic magnetic susceptibility

2019

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The (2+1)-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordström-AdS geometry. The analyticity of the susceptibility on the complex momentum q-plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branchcuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature. At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large |Im q| but become warped with the end-points keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively.

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“1k F ” singularities and finite density ABJM theory at strong coupling

Cited by 4 publications

References 44 publications

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

Spectral weight and spatially modulated instabilities in holographic superfluids

Holographic magnetic susceptibility

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